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3 years ago

Plz help!!! Missing length of right triangles

Mathematics

1 answer:

Elis [28]3 years ago

3 0

It looks like it’s Pythagorean theorem.
a^2 + b^2 =c^2
60^2+11^2=c^2
3,600+121=c^2
3,721=c^2
The square root of 3,721 is 61
So the answer should be 61

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the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

2 years ago

Which of the following is the fastest unit rate ( 1 mile = 1,760 yards = 5,280 feet)

4vir4ik [10]

Answer:

A. 30 miles per hour

Step-by-step explanation:

If you divide 5,280 feet by 1,760, you get a quotient of 3. Then you multiply 10 times 3 to get 30 miles.

4 0

3 years ago

Read 2 more answers

Kim’s soccer team played in 33 games. They won 1 more than 15 times of the number of games they lost. Which system of equations

VARVARA [1.3K]

W = 1+15*l
(The number of games they won= 1+15* the number of games they lost.)

5 0

3 years ago

Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$